
eBook ISBN: | 978-0-8218-7636-7 |
Product Code: | CONM/51.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |

eBook ISBN: | 978-0-8218-7636-7 |
Product Code: | CONM/51.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 51; 1986; 130 ppMSC: Primary 53; Secondary 58
This book features current work in a broad area of modern geometric analysis. The contributors represent a cross-section of researchers working in areas of interaction between analytic methods and geometric problems. The scope of their concerns is broad, but three areas are treated in depth by several authors: scalar curvature on complete manifolds, spectral geometry, and curvature tensor realization.
The papers are aimed primarily at researchers studying differential equations on manifolds, though many of the papers address a more general audience as well. The background required consists of basic training in and an appreciation of the problems of modern differential geometry; experience with partial differential equations would be helpful as well.
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Table of Contents
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Articles
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Alfred Baldes — Nonexistence of Riemannian metrics with prescribed Ricci tensor [ MR 848927 ]
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Gérard Besson — On symmetrization [ MR 848928 ]
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D. E. Blair and S. Ianuş — Critical associated metrics on symplectic manifolds [ MR 848929 ]
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J. Bland and M. Kalka — Complete metrics of negative scalar curvature on noncompact manifolds [ MR 848930 ]
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Dennis DeTurck and Deane Yang — Local existence of smooth metrics with prescribed curvature [ MR 848931 ]
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Charles L. Epstein — Visibility of the Martin boundary for quasiconformal metrics on $D_1$ [ MR 848932 ]
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Michael Gage — On an area-preserving evolution equation for plane curves [ MR 848933 ]
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Carolyn S. Gordon — The Laplace spectra versus the length spectra of Riemannian manifolds [ MR 848934 ]
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R. J. Knill, A. P. Whitman and W. R. Stoeger — The decomposition and superposition of rank-one gravitational potential tensors [ MR 848935 ]
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Robert C. McOwen — Negative curvature and conformal deformations of complete manifolds [ MR 848936 ]
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Min-Oo Maung — Spectral rigidity for manifolds with negative curvature operator [ MR 848937 ]
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Vladimir I. Oliker — Three problems in nonlinear differential geometry [ MR 848938 ]
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Al Vitter — Self-dual Einstein metrics [ MR 848939 ]
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Steven Wilkinson — Exterior differential systems and the problem of characterizing Gauss maps [ MR 848940 ]
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This book features current work in a broad area of modern geometric analysis. The contributors represent a cross-section of researchers working in areas of interaction between analytic methods and geometric problems. The scope of their concerns is broad, but three areas are treated in depth by several authors: scalar curvature on complete manifolds, spectral geometry, and curvature tensor realization.
The papers are aimed primarily at researchers studying differential equations on manifolds, though many of the papers address a more general audience as well. The background required consists of basic training in and an appreciation of the problems of modern differential geometry; experience with partial differential equations would be helpful as well.
-
Articles
-
Alfred Baldes — Nonexistence of Riemannian metrics with prescribed Ricci tensor [ MR 848927 ]
-
Gérard Besson — On symmetrization [ MR 848928 ]
-
D. E. Blair and S. Ianuş — Critical associated metrics on symplectic manifolds [ MR 848929 ]
-
J. Bland and M. Kalka — Complete metrics of negative scalar curvature on noncompact manifolds [ MR 848930 ]
-
Dennis DeTurck and Deane Yang — Local existence of smooth metrics with prescribed curvature [ MR 848931 ]
-
Charles L. Epstein — Visibility of the Martin boundary for quasiconformal metrics on $D_1$ [ MR 848932 ]
-
Michael Gage — On an area-preserving evolution equation for plane curves [ MR 848933 ]
-
Carolyn S. Gordon — The Laplace spectra versus the length spectra of Riemannian manifolds [ MR 848934 ]
-
R. J. Knill, A. P. Whitman and W. R. Stoeger — The decomposition and superposition of rank-one gravitational potential tensors [ MR 848935 ]
-
Robert C. McOwen — Negative curvature and conformal deformations of complete manifolds [ MR 848936 ]
-
Min-Oo Maung — Spectral rigidity for manifolds with negative curvature operator [ MR 848937 ]
-
Vladimir I. Oliker — Three problems in nonlinear differential geometry [ MR 848938 ]
-
Al Vitter — Self-dual Einstein metrics [ MR 848939 ]
-
Steven Wilkinson — Exterior differential systems and the problem of characterizing Gauss maps [ MR 848940 ]